Stability analysis of equilibria in a delay differentialequations model of CML including asymmetric division and treatment

A two dimensional two-delays differential system modeling the dynamics of stem-like cells and white-blood cells in Chronic Myelogenous Leukemia under treatment is considered. Stability of equilibria is investigated and emergence of periodic solutions of limit cycle type, as a result of a Hopf bifurcation, is eventually shown. All three types of stem cell division (asymmetric division, symmetric renewal and symmetric differentiation) are present in the model. The effect of drug resistance is considered through the Goldie–Coldman law.